ISE 426-526 - Lecture 4 - RCBD &amp; Latin Square Designs

# ISE 426-526 - Lecture 4 - RCBD &amp; Latin Square...

This preview shows pages 1–10. Sign up to view the full content.

1 ISE 426/526 Lecture 4 - 2007 Randomized Complete Block Designs Latin Square Designs The Randomized Block Design Experimental Designs CRD RBD Single Factor Multiple Factors RCBD Incomplete Block Designs Single Factor Multiple Factors

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 What is a Block? • Restriction on Randomization • Subset of material that should be more homogenous than entire set of material • Used to control a nuisance factor Comparison of RCBD & CRD RCBD CRD Table 4-1, pg. 120
3 The Airplane Experiment II Randomized Complete Block Design The Airplane Experiment II Objective: _____________________________ Response: _____________________________ Factors: _______________________________ Nuisance Factor: ________________________

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 Setting Up the Experiment Operator Plane Rand Run Order Results 1 1 10480 2 22368 3 24130 2 1 42167 2 37570 3 77921 3 1 99562 2 96301 3 89579 The Theoretical Model y ij = μ + τ i + β j + ε ij μ = overall mean τ i = effect of i th treatment mean β j = effect of j th Block ε ij = NID(0, σ 2 ) random error
5 The Hypothesis Partitioning of SS Total 222 2 .. . .. . .. . . .. 11 1 1 () ( ) ab a b ij i j ij j i ij i j yy b a yyyy == = = −= −+ + ∑∑

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 Calculation Formulas Components of ANOVA Table
7 Airplane Experiment II – Data Total 3 2 1 Total 3 2 1 Opr\Plane Airplane Experiment II - Calculations

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
8 Airplane II - ANOVA – RCBD Source df SS MS F p Operator Plane Error Total Example 4-1, pg. 124 Extrusion P r e s s u r e ( P S I ) 123456 Treatment Totals 8500 90.3 89.2 98.2 93.9 87.4 97.9 556.9 8700 92.5 89.5 90.6 94.7 87.0 95.8 550.1 8900 85.5 90.8 89.6 86.2 88.0 93.4 533.5 9100 82.5 89.5 85.6 87.4 78.9 90.7 514.6 Block Totals 350.8 359.0 364.0 362.2 341.3 377.8 2155.1 Batch of Resin (Block) Medical device manufacturer produces vascular grafts. Some of the tubes in a run develop defects. The developer suspects that the extrusion pressure affects the occurrence of defects. The engineer also suspects there maybe significant batch-to-batch variation.
9 ANOVA Calculations Example 4-1 (cont.) Correct Analysis as RCBD

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 23

ISE 426-526 - Lecture 4 - RCBD &amp; Latin Square...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online